Pith Number

pith:XGFSTXCA

pith:2011:XGFSTXCABSA4YADWKW57VB7WNN

not attested not anchored not stored refs pending

Stabilization of Betti Tables

Gwyneth Whieldon

arxiv:1106.2355 v1 · 2011-06-12 · 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{XGFSTXCABSA4YADWKW57VB7WNN}

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	2026-05-18T04:20:05.929739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98b29dc400c81cc007655bbfa87f66b5d6bee4a001a0a81f531d7ae38bb5ccb

Aliases

arxiv: 1106.2355 · arxiv_version: 1106.2355v1 · doi: 10.48550/arxiv.1106.2355 · pith_short_12: XGFSTXCABSA4 · pith_short_16: XGFSTXCABSA4YADW · pith_short_8: XGFSTXCA

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/XGFSTXCABSA4YADWKW57VB7WNN \
  | 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: b98b29dc400c81cc007655bbfa87f66b5d6bee4a001a0a81f531d7ae38bb5ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7249035023ff6b576e09b727178ce6bbc9712e1137395fe39469820e6bfe827a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-12T22:57:07Z",
    "title_canon_sha256": "87abb0443cfe46ba8ec223a6c1a506e3c6c1797e19f7252271f57707824661f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2355",
    "kind": "arxiv",
    "version": 1
  }
}