Pith Number

pith:NT7DPBTG

pith:2012:NT7DPBTGPDIESQZ37C4GESSUVP

not attested not anchored not stored refs pending

Buildings, Extensions, and Volume Growth Entropy

Amritanshu Prasad, Anish Ghosh, Jayadev S. Athreya

arxiv:1210.0801 v1 · 2012-10-02 · math.GT · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NT7DPBTGPDIESQZ37C4GESSUVP}

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	2026-05-18T03:34:13.875262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cfe37866678d049433bf8b8624a54abf785e9c782044ccdc97b6d6b940b25b0

Aliases

arxiv: 1210.0801 · arxiv_version: 1210.0801v1 · doi: 10.48550/arxiv.1210.0801 · pith_short_12: NT7DPBTGPDIE · pith_short_16: NT7DPBTGPDIESQZ3 · pith_short_8: NT7DPBTG

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/NT7DPBTGPDIESQZ37C4GESSUVP \
  | 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: 6cfe37866678d049433bf8b8624a54abf785e9c782044ccdc97b6d6b940b25b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2378ec3b5bc539a9b688ab213c92bd3ac7e27986043df4f641366aed1f5831",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-02T15:11:00Z",
    "title_canon_sha256": "2dc481233b214499f07546c003135de7984ec079fd69bfa19c3f4f9f645782b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0801",
    "kind": "arxiv",
    "version": 1
  }
}