Pith Number

pith:CAHDKCOU

pith:2010:CAHDKCOUWL5XQXFLO4CZ3MW3AA

not attested not anchored not stored refs pending

Spatial Graphs with Local Knots

Blake Mellor, Erica Flapan, Ramin Naimi

arxiv:1010.0479 v2 · 2010-10-04 · 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{CAHDKCOUWL5XQXFLO4CZ3MW3AA}

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	2026-05-18T02:23:47.489804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100e3509d4b2fb785cab77059db2db00370cfb1296c87c0f485e2efa29fcd2c7

Aliases

arxiv: 1010.0479 · arxiv_version: 1010.0479v2 · doi: 10.48550/arxiv.1010.0479 · pith_short_12: CAHDKCOUWL5X · pith_short_16: CAHDKCOUWL5XQXFL · pith_short_8: CAHDKCOU

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/CAHDKCOUWL5XQXFLO4CZ3MW3AA \
  | 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: 100e3509d4b2fb785cab77059db2db00370cfb1296c87c0f485e2efa29fcd2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df02cc70ed7c93d7cac7076c8415199db7afc08f982df273825423fa6f6b7ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-04T06:15:57Z",
    "title_canon_sha256": "00fc8f934f1232172ffba47153627a4645e92bbe8577bb417a2e13092dcceb3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0479",
    "kind": "arxiv",
    "version": 2
  }
}