Pith Number

pith:7GAWEBXJ

pith:2019:7GAWEBXJAHQBYOCXHNV6WEO4AP

not attested not anchored not stored refs pending

Elasticity in Apery sets

Christopher O'Neill, Jackson Autry, Tara Gomes, Vadim Ponomarenko

arxiv:1908.06448 v1 · 2019-08-18 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GAWEBXJAHQBYOCXHNV6WEO4AP}

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	2026-07-04T23:58:15.844180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9816206e901e01c38573b6beb11dc03c172db894ba20c16fb80aeaaeba650ac

Aliases

arxiv: 1908.06448 · arxiv_version: 1908.06448v1 · doi: 10.48550/arxiv.1908.06448 · pith_short_12: 7GAWEBXJAHQB · pith_short_16: 7GAWEBXJAHQBYOCX · pith_short_8: 7GAWEBXJ

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/7GAWEBXJAHQBYOCXHNV6WEO4AP \
  | 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: f9816206e901e01c38573b6beb11dc03c172db894ba20c16fb80aeaaeba650ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc13dc87d415de2811d1034e33fecbb569f6c68dd4d74da9e2ef71b10e3280bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-18T14:37:02Z",
    "title_canon_sha256": "81a0527ce35c7bf3c6e2690b6df53ad653cdaca35d67b0127cbd6cdb2774c14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06448",
    "kind": "arxiv",
    "version": 1
  }
}