Pith Number

pith:FF32RFSP

pith:2015:FF32RFSPYKV7NFKEYFRGIWD3OR

not attested not anchored not stored refs pending

Dalian notes on rational Pontryagin classes

Michael S. Weiss

arxiv:1507.00153 v8 · 2015-07-01 · 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{FF32RFSPYKV7NFKEYFRGIWD3OR}

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.

Cited by

1 paper in Pith

The cohomology of Torelli groups is algebraic

Receipt and verification

First computed	2026-07-05T03:52:52.257581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2977a8964fc2abf69544c16264587b7443484b2848c22c5f7018ed0d441fd476

Aliases

arxiv: 1507.00153 · arxiv_version: 1507.00153v8 · doi: 10.48550/arxiv.1507.00153 · pith_short_12: FF32RFSPYKV7 · pith_short_16: FF32RFSPYKV7NFKE · pith_short_8: FF32RFSP

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/FF32RFSPYKV7NFKEYFRGIWD3OR \
  | 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: 2977a8964fc2abf69544c16264587b7443484b2848c22c5f7018ed0d441fd476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90baa510cb6195e9b304a2c849478f74df20f7fd8be30f5acafa3ddcfd5c9f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-01T08:54:19Z",
    "title_canon_sha256": "2c9d9bb16c1a62959470a2c16a4ca0c2d88e9e7c6260d009d460cf528cf59363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00153",
    "kind": "arxiv",
    "version": 8
  }
}