Pith Number

pith:VTCMLYHS

pith:2015:VTCMLYHSMAHMPNF4HSPFK4U7FN

not attested not anchored not stored refs pending

Entry time statistics to different shrinking sets

Italo Cipriano

arxiv:1510.07885 v2 · 2015-10-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTCMLYHSMAHMPNF4HSPFK4U7FN}

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	2026-05-18T01:11:27.141178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc4c5e0f2600ec7b4bc3c9e55729f2b69e9137d7898da5671cf7ef9ec99fb30

Aliases

arxiv: 1510.07885 · arxiv_version: 1510.07885v2 · doi: 10.48550/arxiv.1510.07885 · pith_short_12: VTCMLYHSMAHM · pith_short_16: VTCMLYHSMAHMPNF4 · pith_short_8: VTCMLYHS

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/VTCMLYHSMAHMPNF4HSPFK4U7FN \
  | 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: acc4c5e0f2600ec7b4bc3c9e55729f2b69e9137d7898da5671cf7ef9ec99fb30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b23a931b0b108c020bf1c1a4b16a0987ca0917ff8f916de4cad3a75c56dab21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-27T12:38:37Z",
    "title_canon_sha256": "c22dfc08c15687fef24191394afd30b922c8cd446fb8d44ec6a187b2664a7bb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07885",
    "kind": "arxiv",
    "version": 2
  }
}