Pith Number

pith:2PBUTG6M

pith:2015:2PBUTG6MYYPW5NH5G37ZNXD6Y4

not attested not anchored not stored refs pending

On extending calibration pairs

Yongsheng Zhang

arxiv:1511.03953 v4 · 2015-11-12 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PBUTG6MYYPW5NH5G37ZNXD6Y4}

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	2026-05-17T23:42:14.531304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c3499bccc61f6eb4fd36ff96dc7ec70b99d82d8b781b10e2c16a6a28871ea0

Aliases

arxiv: 1511.03953 · arxiv_version: 1511.03953v4 · doi: 10.48550/arxiv.1511.03953 · pith_short_12: 2PBUTG6MYYPW · pith_short_16: 2PBUTG6MYYPW5NH5 · pith_short_8: 2PBUTG6M

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/2PBUTG6MYYPW5NH5G37ZNXD6Y4 \
  | 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: d3c3499bccc61f6eb4fd36ff96dc7ec70b99d82d8b781b10e2c16a6a28871ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ffc3a814221713068b46431cc42d155d0682eb14a1abd6d22f096077a8f052",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-12T16:31:37Z",
    "title_canon_sha256": "625f274979958f60f2bde1d0c4dc5a19e04e58b72a047af05a2525d5b573b21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03953",
    "kind": "arxiv",
    "version": 4
  }
}