Pith Number

pith:KGP7HSW3

pith:2002:KGP7HSW3U6HLOXNTAWC4V77WRW

not attested not anchored not stored refs pending

Linking first occurrence polynomials over F_p by Steenrod operations

Grant Walker, Pham Anh Minh

arxiv:math/0207213 v1 · 2002-07-23 · 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{KGP7HSW3U6HLOXNTAWC4V77WRW}

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	2026-05-18T02:41:32.929810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519ff3cadba78eb75db30585cafff68d8c8a087709e4d158393294f16447b844

Aliases

arxiv: math/0207213 · arxiv_version: math/0207213v1 · doi: 10.48550/arxiv.math/0207213 · pith_short_12: KGP7HSW3U6HL · pith_short_16: KGP7HSW3U6HLOXNT · pith_short_8: KGP7HSW3

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/KGP7HSW3U6HLOXNTAWC4V77WRW \
  | 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: 519ff3cadba78eb75db30585cafff68d8c8a087709e4d158393294f16447b844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6093e64ddc51a6204b6e1cf5b3324718e6169e8f4520d00d5db6f70552291a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-07-23T21:06:53Z",
    "title_canon_sha256": "5280d300b244a5cd115c212ee30c08fb7cace66b87f6cdd82f0145c34238a62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207213",
    "kind": "arxiv",
    "version": 1
  }
}