Pith Number

pith:34HXUSFQ

pith:2016:34HXUSFQ7XGFOVEE4DTCORNRZH

not attested not anchored not stored refs pending

Dualities between Cellular Sheaves and Cosheaves

Justin Curry

arxiv:1607.06942 v1 · 2016-07-23 · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34HXUSFQ7XGFOVEE4DTCORNRZH}

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	2026-05-18T01:10:35.369780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0f7a48b0fdcc575484e0e62745b1c9e4e2cb0bbda0ad5333c81aafff66c27a

Aliases

arxiv: 1607.06942 · arxiv_version: 1607.06942v1 · doi: 10.48550/arxiv.1607.06942 · pith_short_12: 34HXUSFQ7XGF · pith_short_16: 34HXUSFQ7XGFOVEE · pith_short_8: 34HXUSFQ

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/34HXUSFQ7XGFOVEE4DTCORNRZH \
  | 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: df0f7a48b0fdcc575484e0e62745b1c9e4e2cb0bbda0ad5333c81aafff66c27a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d526e943b44781612bb51f88ca44c6a45186b2dc4ad7bff58704149f7d44c2",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-07-23T14:34:08Z",
    "title_canon_sha256": "81c977e6df78824124a41a131e61096cfd039fceb580705d3c13c78758782b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06942",
    "kind": "arxiv",
    "version": 1
  }
}