Pith Number

pith:CXARHLFN

pith:2011:CXARHLFNMAMHZ5DZ55XVAUSSD2

not attested not anchored not stored refs pending

On the fibration of augmented link complements

Darlan Gir\~ao

arxiv:1109.3084 v2 · 2011-09-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXARHLFNMAMHZ5DZ55XVAUSSD2}

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	2026-05-18T03:36:04.880554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c113acad60187cf479ef6f5052521e81d9bae9dddd530ce2975baf2a6c35e7

Aliases

arxiv: 1109.3084 · arxiv_version: 1109.3084v2 · doi: 10.48550/arxiv.1109.3084 · pith_short_12: CXARHLFNMAMH · pith_short_16: CXARHLFNMAMHZ5DZ · pith_short_8: CXARHLFN

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/CXARHLFNMAMHZ5DZ55XVAUSSD2 \
  | 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: 15c113acad60187cf479ef6f5052521e81d9bae9dddd530ce2975baf2a6c35e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8910690d41aee0c9d608664d2a1f28e2dfd3ed796be455009eda2a3ab33ca1e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-14T14:05:07Z",
    "title_canon_sha256": "e9af547e1d7c81cef78b7097b305c1a7942efe6b91902e7c1a95a0ae833b5435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3084",
    "kind": "arxiv",
    "version": 2
  }
}