Pith Number

pith:QICZWXHF

pith:2011:QICZWXHFPLD7KYFO34F7T7C2AI

not attested not anchored not stored refs pending

Topological Symmetry Groups of Graphs in 3-Manifolds

Erica Flapan, Harry Tamvakis

arxiv:1108.2880 v1 · 2011-08-14 · 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{QICZWXHFPLD7KYFO34F7T7C2AI}

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	2026-05-18T04:15:29.015693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82059b5ce57ac7f560aedf0bf9fc5a0228b3bdf35e9aa3698194c5b508f65e54

Aliases

arxiv: 1108.2880 · arxiv_version: 1108.2880v1 · doi: 10.48550/arxiv.1108.2880 · pith_short_12: QICZWXHFPLD7 · pith_short_16: QICZWXHFPLD7KYFO · pith_short_8: QICZWXHF

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/QICZWXHFPLD7KYFO34F7T7C2AI \
  | 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: 82059b5ce57ac7f560aedf0bf9fc5a0228b3bdf35e9aa3698194c5b508f65e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4035a77df3c9429300b96ecdf98f2b28b5edeb20354d850999d94c966c88adcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-14T15:15:35Z",
    "title_canon_sha256": "761aac78db2247d2a342303e452465380fbd3f18c5815926fe51c5345a381a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2880",
    "kind": "arxiv",
    "version": 1
  }
}