Pith Number

pith:2ECXVNOZ

pith:2014:2ECXVNOZVLI4HJ5L4ATVPFV6J5

not attested not anchored not stored refs pending

Finitely presented groups and the Whitehead nightmare

Daniele Ettore Otera, Valentin Poenaru

arxiv:1410.2363 v3 · 2014-10-09 · 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{2ECXVNOZVLI4HJ5L4ATVPFV6J5}

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	2026-05-18T01:18:49.469069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1057ab5d9aad1c3a7abe0275796be4f634b6ad198e659b418f3de0b74b293e2

Aliases

arxiv: 1410.2363 · arxiv_version: 1410.2363v3 · doi: 10.48550/arxiv.1410.2363 · pith_short_12: 2ECXVNOZVLI4 · pith_short_16: 2ECXVNOZVLI4HJ5L · pith_short_8: 2ECXVNOZ

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/2ECXVNOZVLI4HJ5L4ATVPFV6J5 \
  | 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: d1057ab5d9aad1c3a7abe0275796be4f634b6ad198e659b418f3de0b74b293e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248b0e0074adb2e03b91c88a96da42bc23205fb4f272f35fda38343c76adbaf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-09T06:07:55Z",
    "title_canon_sha256": "8342f13f1488f6d76d4fb2eeab6adfa0b3272c99fdb506399fb154a629f864e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2363",
    "kind": "arxiv",
    "version": 3
  }
}