Pith Number

pith:ZHHMYSBK

pith:2016:ZHHMYSBK33L3IP36U5UZAJIX62

not attested not anchored not stored refs pending

Quantitative null-cobordism

Dominic Dotterrer, Fedor Manin, Gregory R. Chambers, Shmuel Weinberger

arxiv:1610.04888 v2 · 2016-10-16 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHHMYSBK33L3IP36U5UZAJIX62}

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	2026-07-05T01:13:50.412878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cecc482aded7b43f7ea769902517f68eb9cd8fed0e8d26b9727ad836941d39

Aliases

arxiv: 1610.04888 · arxiv_version: 1610.04888v2 · doi: 10.48550/arxiv.1610.04888 · pith_short_12: ZHHMYSBK33L3 · pith_short_16: ZHHMYSBK33L3IP36 · pith_short_8: ZHHMYSBK

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/ZHHMYSBK33L3IP36U5UZAJIX62 \
  | 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: c9cecc482aded7b43f7ea769902517f68eb9cd8fed0e8d26b9727ad836941d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec742a1ed205dfdbffef13b35f0735a0684f1e44740e623d0b50294487073084",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-16T17:08:18Z",
    "title_canon_sha256": "66f572f2f44ad4a348d7f7ce5bbd85b40bbb37ba366b6814a7d28d990bf4cc68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04888",
    "kind": "arxiv",
    "version": 2
  }
}