Pith Number

pith:TUPCNSE4

pith:2015:TUPCNSE4YJCFHO5UY3I3EETBF2

not attested not anchored not stored refs pending

Leibniz rule on higher pages of unstable spectral sequences

Jie Wu, Roman Mikhailov, Sergei O. Ivanov

arxiv:1503.08314 v3 · 2015-03-28 · 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{TUPCNSE4YJCFHO5UY3I3EETBF2}

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	2026-05-18T01:58:26.791205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1e26c89cc24453bbb4c6d1b212612e9a4d9f63d58e079cc3a8e7cc2976ce70

Aliases

arxiv: 1503.08314 · arxiv_version: 1503.08314v3 · doi: 10.48550/arxiv.1503.08314 · pith_short_12: TUPCNSE4YJCF · pith_short_16: TUPCNSE4YJCFHO5U · pith_short_8: TUPCNSE4

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/TUPCNSE4YJCFHO5UY3I3EETBF2 \
  | 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: 9d1e26c89cc24453bbb4c6d1b212612e9a4d9f63d58e079cc3a8e7cc2976ce70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b8682f84d816f9b7eba936d1045e9786c6ce35a020d1b58353a0a9d3d179f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-28T15:37:35Z",
    "title_canon_sha256": "8a76f6ce88ee7608768abca3ee0d88dde4acbb203c22936699a0c8568b78a1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08314",
    "kind": "arxiv",
    "version": 3
  }
}