Pith Number

pith:2MFOAZJD

pith:2011:2MFOAZJDJM4XM7J7QX7TZ46QFM

not attested not anchored not stored refs pending

Strongly transitive multiple trees

Katrin Tent

arxiv:1110.2635 v2 · 2011-10-12 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MFOAZJDJM4XM7J7QX7TZ46QFM}

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	2026-05-18T04:10:23.176244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30ae065234b39767d3f85ff3cf3d02b264ac901e3770638232f6ade527fd8be

Aliases

arxiv: 1110.2635 · arxiv_version: 1110.2635v2 · doi: 10.48550/arxiv.1110.2635 · pith_short_12: 2MFOAZJDJM4X · pith_short_16: 2MFOAZJDJM4XM7J7 · pith_short_8: 2MFOAZJD

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/2MFOAZJDJM4XM7J7QX7TZ46QFM \
  | 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: d30ae065234b39767d3f85ff3cf3d02b264ac901e3770638232f6ade527fd8be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1384d089b33eed816fd0a870fcfe330ca0550e03ea900140d4fa9b125aa6c047",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-12T11:50:03Z",
    "title_canon_sha256": "50a7bfaabf44f87ba0453473a2b79b4ac5cab985a041d8185d995031f779b065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2635",
    "kind": "arxiv",
    "version": 2
  }
}