Pith Number

pith:6QLCOGJQ

pith:2024:6QLCOGJQLDM32PW3COK3HHSCHH

not attested not anchored not stored refs pending

Barcoding Invariants and Their Comparison

Emerson G. Escolar, Woojin Kim

arxiv:2412.04995 v3 · 2024-12-06 · math.AT · 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{6QLCOGJQLDM32PW3COK3HHSCHH}

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.

Cited by

1 paper in Pith

An Algebraic Introduction to Persistence

Receipt and verification

First computed	2026-06-30T01:16:22.392590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41627193058d9bd3edb1395b39e4239dd131b33363e6efdb58ed22b1ceb65b8

Aliases

arxiv: 2412.04995 · arxiv_version: 2412.04995v3 · doi: 10.48550/arxiv.2412.04995 · pith_short_12: 6QLCOGJQLDM3 · pith_short_16: 6QLCOGJQLDM32PW3 · pith_short_8: 6QLCOGJQ

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/6QLCOGJQLDM32PW3COK3HHSCHH \
  | 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: f41627193058d9bd3edb1395b39e4239dd131b33363e6efdb58ed22b1ceb65b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c948ed4200e8357c1b5fecc1597bba1a52e49d9ed9fbfb3050dd1b94228d5435",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-06T12:44:03Z",
    "title_canon_sha256": "f8be35b71ed1cfd3c5ca065d320033257171463d738b2b61f2418e2788c33654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04995",
    "kind": "arxiv",
    "version": 3
  }
}