Pith Number

pith:G72I4BKT

pith:2015:G72I4BKTQFBD3TVN4LMVIRJTSS

not attested not anchored not stored refs pending

Geometric proof of the $\lambda$-lemma

Eric Bedford, Tanya Firsova

arxiv:1501.04673 v2 · 2015-01-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G72I4BKTQFBD3TVN4LMVIRJTSS}

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	2026-05-18T01:59:57.861211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f48e055381423dceade2d954453394b52d4c6b31762a0e7929bf91873f4bab

Aliases

arxiv: 1501.04673 · arxiv_version: 1501.04673v2 · doi: 10.48550/arxiv.1501.04673 · pith_short_12: G72I4BKTQFBD · pith_short_16: G72I4BKTQFBD3TVN · pith_short_8: G72I4BKT

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/G72I4BKTQFBD3TVN4LMVIRJTSS \
  | 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: 37f48e055381423dceade2d954453394b52d4c6b31762a0e7929bf91873f4bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e03eaaa9d380860d2fbe852f273daf607a567a7fd7300b7ee5b0b483fe1972d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-19T23:28:43Z",
    "title_canon_sha256": "5e97ad2f9fba09cf2d749336246663b907b01ef18d26adb411bc5322a69aa347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04673",
    "kind": "arxiv",
    "version": 2
  }
}