Pith Number

pith:P5IUTZRO

pith:2011:P5IUTZROED42SYFC256VDTN2N2

not attested not anchored not stored refs pending

$\ell^2$-homology and planar graphs

Timothy A. Schroeder

arxiv:1110.1102 v1 · 2011-10-05 · 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{P5IUTZROED42SYFC256VDTN2N2}

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	2026-05-18T04:11:39.280995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5149e62e20f9a960a2d77d51cdba6e97ef64c1056c034712375f310a296ea1

Aliases

arxiv: 1110.1102 · arxiv_version: 1110.1102v1 · doi: 10.48550/arxiv.1110.1102 · pith_short_12: P5IUTZROED42 · pith_short_16: P5IUTZROED42SYFC · pith_short_8: P5IUTZRO

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/P5IUTZROED42SYFC256VDTN2N2 \
  | 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: 7f5149e62e20f9a960a2d77d51cdba6e97ef64c1056c034712375f310a296ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ddeeecb97bd86253be782e1b65f56c64108d61ff5667db6ae2c92b4eab3177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-05T20:58:14Z",
    "title_canon_sha256": "db69b1b7f4f334865eb84ac0ed9dca5d2740be85cf43ca94c7dd82ec4c03a4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1102",
    "kind": "arxiv",
    "version": 1
  }
}