Pith Number

pith:EGWA3U5W

pith:2017:EGWA3U5W57UON2BYW53OZMKKCV

not attested not anchored not stored refs pending

Preservation of Trees by semidirect Products

Gabriel Zapata

arxiv:1801.00057 v1 · 2017-12-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGWA3U5W57UON2BYW53OZMKKCV}

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	2026-05-18T00:26:59.613781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ac0dd3b6efe8e6e838b776ecb14a155d97ef381771a6c03e98f22da9314677

Aliases

arxiv: 1801.00057 · arxiv_version: 1801.00057v1 · doi: 10.48550/arxiv.1801.00057 · pith_short_12: EGWA3U5W57UO · pith_short_16: EGWA3U5W57UON2BY · pith_short_8: EGWA3U5W

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/EGWA3U5W57UON2BYW53OZMKKCV \
  | 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: 21ac0dd3b6efe8e6e838b776ecb14a155d97ef381771a6c03e98f22da9314677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d086bdbae74dce3e17eb26d3fa47a912eccc5dbe2d1850aea7055d812b9689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-29T23:09:02Z",
    "title_canon_sha256": "329fe84059b7cabfbd2f6b13f3de3f383f566b8b997d5f79a2ae6891d6f5dcb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00057",
    "kind": "arxiv",
    "version": 1
  }
}