Pith Number

pith:TE6I2IG2

pith:2019:TE6I2IG2DUXLMYOFJY5UMVH4JV

not attested not anchored not stored refs pending

Properties for the Frechet Mean in Billera-Holmes-Vogtmann Treespace

Aisha Ashfaq, Corrine Yap, Ella Pavlechko, Joyce Chiu, Katherine St. John, Keith Thompson, Mahedi Kaiser, Maria Anaya, Max Shoji Ohsawa, Megan Owen, Olga Anipchenko-Ulaj, Shivam Suleria

arxiv:1907.05937 v1 · 2019-07-12 · math.CO · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TE6I2IG2DUXLMYOFJY5UMVH4JV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:40:42.958093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

993c8d20da1d2eb661c54e3b4654fc4d75b3726431b3e5ebe4f87e27fcc61a24

Aliases

arxiv: 1907.05937 · arxiv_version: 1907.05937v1 · doi: 10.48550/arxiv.1907.05937 · pith_short_12: TE6I2IG2DUXL · pith_short_16: TE6I2IG2DUXLMYOF · pith_short_8: TE6I2IG2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TE6I2IG2DUXLMYOFJY5UMVH4JV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 993c8d20da1d2eb661c54e3b4654fc4d75b3726431b3e5ebe4f87e27fcc61a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696319cd3245b620279813e4a1cc533bad2079f679e56bc4d517b524d0e63788",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-12T20:15:30Z",
    "title_canon_sha256": "d83d78211cdd3551fee6b9827b2c479b1a9db0ca610f83ebba4f8e75a38fc1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05937",
    "kind": "arxiv",
    "version": 1
  }
}