Pith Number

pith:YBO372WO

pith:2019:YBO372WOCA2NT3CIH7P64FKK3C

not attested not anchored not stored refs pending

Functorial invariants of trees and their cones

Eric Ramos, Nicholas Proudfoot

arxiv:1903.10592 v2 · 2019-03-25 · math.CO · math.AG · math.AT · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBO372WOCA2NT3CIH7P64FKK3C}

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	2026-05-17T23:39:39.669015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05dbfeace1034d9ec483fdfee154ad8a319a0b4971a9121d55fa56ad782aa2d

Aliases

arxiv: 1903.10592 · arxiv_version: 1903.10592v2 · doi: 10.48550/arxiv.1903.10592 · pith_short_12: YBO372WOCA2N · pith_short_16: YBO372WOCA2NT3CI · pith_short_8: YBO372WO

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/YBO372WOCA2NT3CIH7P64FKK3C \
  | 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: c05dbfeace1034d9ec483fdfee154ad8a319a0b4971a9121d55fa56ad782aa2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9bc48564572414074eb791cedc0c5dd0e51ed132baff7a51e691d1cf185ad5",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-25T20:37:28Z",
    "title_canon_sha256": "1d118f1c3940fdfc2e221676926db664f77d1fa06f04ef2bf2429a8f5d150775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10592",
    "kind": "arxiv",
    "version": 2
  }
}