Pith Number

pith:I3EZJJ44

pith:2013:I3EZJJ44IOC7IKPISG5UBW6P4L

not attested not anchored not stored refs pending

Excluding Graphs as Immersions in Surface Embedded Graphs

Archontia C. Giannopoulou, Dimitrios M. Thilikos, Marcin Kaminski

arxiv:1303.6567 v1 · 2013-03-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3EZJJ44IOC7IKPISG5UBW6P4L}

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	2026-05-18T03:29:49.038621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c994a79c4385f429e891bb40dbcfe2d4c923c25ee1a5e3df8a0e7f4dd61d9f

Aliases

arxiv: 1303.6567 · arxiv_version: 1303.6567v1 · doi: 10.48550/arxiv.1303.6567 · pith_short_12: I3EZJJ44IOC7 · pith_short_16: I3EZJJ44IOC7IKPI · pith_short_8: I3EZJJ44

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/I3EZJJ44IOC7IKPISG5UBW6P4L \
  | 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: 46c994a79c4385f429e891bb40dbcfe2d4c923c25ee1a5e3df8a0e7f4dd61d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c39eae0839f8cfc53e1ee1b4f1f4edf1c62524aceed2961385176ba4dcd821",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-26T17:45:11Z",
    "title_canon_sha256": "36a74ac85ef8515e542efe409f6d8e97546aa7dadd2b75bb966a85232a5bf7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6567",
    "kind": "arxiv",
    "version": 1
  }
}