Pith Number

pith:QFAQS7LW

pith:2005:QFAQS7LWSSCGDIYDVW2VLOWS7E

not attested not anchored not stored refs pending

$({\Bbb Z}_2)^k$-actions with $w(F)=1$

Zhi L\"u

arxiv:math/0503085 v1 · 2005-03-05 · 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{QFAQS7LWSSCGDIYDVW2VLOWS7E}

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	2026-07-04T14:39:45.977329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8141097d76948461a303adb555bad2f90da44749e61479ccab62beb0cf503ed4

Aliases

arxiv: math/0503085 · arxiv_version: math/0503085v1 · doi: 10.48550/arxiv.math/0503085 · pith_short_12: QFAQS7LWSSCG · pith_short_16: QFAQS7LWSSCGDIYD · pith_short_8: QFAQS7LW

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/QFAQS7LWSSCGDIYDVW2VLOWS7E \
  | 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: 8141097d76948461a303adb555bad2f90da44749e61479ccab62beb0cf503ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b40ea14e6b18c8d5a4222c16a1b70ea58bc0379732adb34ff8271e62bba1775",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-03-05T05:22:33Z",
    "title_canon_sha256": "cef154a0e309a627e25e6decdce4b74aa2d4f93f1ab5de3946a51b33f9f1561a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503085",
    "kind": "arxiv",
    "version": 1
  }
}