Pith Number

pith:CY4YTCDC

pith:2015:CY4YTCDCPBFEAFYOC2UWJF4VBM

not attested not anchored not stored refs pending

Convexity in Tree Spaces

Bernd Sturmfels, Bo Lin, Ruriko Yoshida, Xiaoxian Tang

arxiv:1510.08797 v3 · 2015-10-29 · math.MG · cs.CG · 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{CY4YTCDCPBFEAFYOC2UWJF4VBM}

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	2026-05-18T00:23:14.661686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1639898862784a40170e16a96497950b3b9d7da6ee82a7a83835771f37acc6a5

Aliases

arxiv: 1510.08797 · arxiv_version: 1510.08797v3 · doi: 10.48550/arxiv.1510.08797 · pith_short_12: CY4YTCDCPBFE · pith_short_16: CY4YTCDCPBFEAFYO · pith_short_8: CY4YTCDC

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/CY4YTCDCPBFEAFYOC2UWJF4VBM \
  | 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: 1639898862784a40170e16a96497950b3b9d7da6ee82a7a83835771f37acc6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f39db76aaaf315e4420627b5e14c45d15f5e32be4647d87d8b6c740cf0abc0",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-10-29T17:46:55Z",
    "title_canon_sha256": "6dd42ff291082920eab0b99dc39f5834c13ee9e417eb5461d01d52f6bb8efb13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08797",
    "kind": "arxiv",
    "version": 3
  }
}