Pith Number

pith:Y7S52273

pith:2001:Y7S52273Q7L5DWEVQHQSVZOSNZ

not attested not anchored not stored refs pending

E_\infty-structure and differentials of the Adams spectral sequence

V.A.Smirnov

arxiv:math/0107006 v2 · 2001-07-02 · 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{Y7S52273Q7L5DWEVQHQSVZOSNZ}

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	2026-05-18T01:38:29.901705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7e5dd6bfb87d7d1d89581e12ae5d26e4d50af2ff492f2cfe0f4329c492b6b18

Aliases

arxiv: math/0107006 · arxiv_version: math/0107006v2 · doi: 10.48550/arxiv.math/0107006 · pith_short_12: Y7S52273Q7L5 · pith_short_16: Y7S52273Q7L5DWEV · pith_short_8: Y7S52273

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/Y7S52273Q7L5DWEVQHQSVZOSNZ \
  | 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: c7e5dd6bfb87d7d1d89581e12ae5d26e4d50af2ff492f2cfe0f4329c492b6b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5381e1f4281b2255d443150c2ab27ad636bd02d015454ed2f7e431be4281301b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-07-02T04:00:45Z",
    "title_canon_sha256": "e8c0b7726048c106d476035cc007719f6500a06ce552f710477ff3e91ec7a464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107006",
    "kind": "arxiv",
    "version": 2
  }
}