Pith Number

pith:ZJXZ7V6R

pith:2019:ZJXZ7V6RU2SN4HK62WPBTSMWPB

not attested not anchored not stored refs pending

Goodwillie Calculus

Gregory Arone, Michael Ching

arxiv:1902.00803 v1 · 2019-02-02 · 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{ZJXZ7V6RU2SN4HK62WPBTSMWPB}

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	2026-05-17T23:54:52.090644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6f9fd7d1a6a4de1d5ed59e19c996787ba2f29c071c5fd5ed9fa4ead8d5be5c

Aliases

arxiv: 1902.00803 · arxiv_version: 1902.00803v1 · doi: 10.48550/arxiv.1902.00803 · pith_short_12: ZJXZ7V6RU2SN · pith_short_16: ZJXZ7V6RU2SN4HK6 · pith_short_8: ZJXZ7V6R

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/ZJXZ7V6RU2SN4HK62WPBTSMWPB \
  | 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: ca6f9fd7d1a6a4de1d5ed59e19c996787ba2f29c071c5fd5ed9fa4ead8d5be5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc54d7e1c52693b7ceb08d07908f0bea419bb09c08e3c8cd28523f9a1af46745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-02T22:10:52Z",
    "title_canon_sha256": "2295cc1bd7a55a927acb0bc08f7ef7ee7380f317edceb580b328c25bb6cbb6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00803",
    "kind": "arxiv",
    "version": 1
  }
}