Pith Number

pith:5K2X56EX

pith:2003:5K2X56EX6HTWFEAT2F6T6YHLPD

not attested not anchored not stored refs pending

Self maps of HP^n via the unstable Adams spectral sequence

Gustavo Granja

arxiv:math/0305315 v3 · 2003-05-22 · 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{5K2X56EX6HTWFEAT2F6T6YHLPD}

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	2026-05-18T02:49:18.914727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab57ef897f1e7629013d17d3f60eb78dcab1b475183c10d37f64578f0e6c5ba

Aliases

arxiv: math/0305315 · arxiv_version: math/0305315v3 · doi: 10.48550/arxiv.math/0305315 · pith_short_12: 5K2X56EX6HTW · pith_short_16: 5K2X56EX6HTWFEAT · pith_short_8: 5K2X56EX

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/5K2X56EX6HTWFEAT2F6T6YHLPD \
  | 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: eab57ef897f1e7629013d17d3f60eb78dcab1b475183c10d37f64578f0e6c5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08d551d7a98779f81f09dd885d33cfbae70bf03753115fbed1bef9cf8a7d14d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2003-05-22T15:47:45Z",
    "title_canon_sha256": "08afb275bb1ebee3e1d80073ebf5dfed25dfd3ec16ef3c5f47e8be18f08c920a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305315",
    "kind": "arxiv",
    "version": 3
  }
}