Pith Number

pith:FNH4B5O6

pith:2021:FNH4B5O6OLUAN6QGYHTR7NNAR6

not attested not anchored not stored refs pending

Persistent sheaf Laplacians

Guo-Wei Wei, Xiaoqi Wei

arxiv:2112.10906 v4 · 2021-12-20 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNH4B5O6OLUAN6QGYHTR7NNAR6}

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

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Receipt and verification

First computed	2026-07-05T07:20:37.070861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4fc0f5de72e806fa06c1e71fb5a08f83c8fe9bb9fb990b402f73e1e9632d32

Aliases

arxiv: 2112.10906 · arxiv_version: 2112.10906v4 · doi: 10.48550/arxiv.2112.10906 · pith_short_12: FNH4B5O6OLUA · pith_short_16: FNH4B5O6OLUAN6QG · pith_short_8: FNH4B5O6

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/FNH4B5O6OLUAN6QGYHTR7NNAR6 \
  | 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: 2b4fc0f5de72e806fa06c1e71fb5a08f83c8fe9bb9fb990b402f73e1e9632d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812a31e4aa6f3bd2d4b4962724b3aa3486f061891aa9c4fdd21129bba1f79a50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-12-20T23:26:46Z",
    "title_canon_sha256": "e15c9298535ca0924c401bf15ab44261a5f1f99499c6e58b617c754e5aea2975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10906",
    "kind": "arxiv",
    "version": 4
  }
}