Pith Number

pith:MF2SLARE

pith:2005:MF2SLAREH43JBTXNYREUVRV3KE

not attested not anchored not stored refs pending

Euler characteristics and Gysin sequences for group actions on boundaries

Heath Emerson, Ralf Meyer

arxiv:math/0505050 v1 · 2005-05-03 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MF2SLAREH43JBTXNYREUVRV3KE}

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	2026-05-18T01:29:30.150223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61752582243f3690ceedc4494ac6bb513ac33894bd9eada134a715298f29967c

Aliases

arxiv: math/0505050 · arxiv_version: math/0505050v1 · doi: 10.48550/arxiv.math/0505050 · pith_short_12: MF2SLAREH43J · pith_short_16: MF2SLAREH43JBTXN · pith_short_8: MF2SLARE

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/MF2SLAREH43JBTXNYREUVRV3KE \
  | 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: 61752582243f3690ceedc4494ac6bb513ac33894bd9eada134a715298f29967c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a879b6c31d3e0b11b4830da9fb4ee2c0099513369a3d3992d5c71933c203459a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-05-03T09:37:30Z",
    "title_canon_sha256": "804134b0dc8091e880b345dbb8d8d904711cff3daaa7ff2a88199bfce8deae90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505050",
    "kind": "arxiv",
    "version": 1
  }
}