Pith Number

pith:U3ZTHAPK

pith:2019:U3ZTHAPKMF7A3RRYZCIFUOD45Q

not attested not anchored not stored refs pending

Thom Complexes and the Spectrum tmf

Hood Chatham

arxiv:1903.07116 v1 · 2019-03-17 · 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{U3ZTHAPKMF7A3RRYZCIFUOD45Q}

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	2026-05-17T23:51:04.175733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f33381ea617e0dc638c8905a387cec170fae291c5fd62509a8866c131ba780

Aliases

arxiv: 1903.07116 · arxiv_version: 1903.07116v1 · doi: 10.48550/arxiv.1903.07116 · pith_short_12: U3ZTHAPKMF7A · pith_short_16: U3ZTHAPKMF7A3RRY · pith_short_8: U3ZTHAPK

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/U3ZTHAPKMF7A3RRYZCIFUOD45Q \
  | 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: a6f33381ea617e0dc638c8905a387cec170fae291c5fd62509a8866c131ba780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7f26e45338a29896044d29c361adc14312ac0a5c67fb0c7711b8d631b08311",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-17T15:56:04Z",
    "title_canon_sha256": "d47ee13aecc5f41f7aa6ee6acec8655678cd056a0434f5eb3368ce4294a1c5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07116",
    "kind": "arxiv",
    "version": 1
  }
}