Pith Number

pith:WJCWAXVW

pith:2009:WJCWAXVWY4D76KYQAN2SNEUYF6

not attested not anchored not stored refs pending

Twisted genera of symmetric products

Joerg Schuermann, Laurentiu Maxim

arxiv:0906.1264 v2 · 2009-06-06 · math.AG · 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{WJCWAXVWY4D76KYQAN2SNEUYF6}

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	2026-05-18T03:58:49.191373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b245605eb6c707ff2b1003752692982fa7e51263550c7820a048d8eadca500e4

Aliases

arxiv: 0906.1264 · arxiv_version: 0906.1264v2 · doi: 10.48550/arxiv.0906.1264 · pith_short_12: WJCWAXVWY4D7 · pith_short_16: WJCWAXVWY4D76KYQ · pith_short_8: WJCWAXVW

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/WJCWAXVWY4D76KYQAN2SNEUYF6 \
  | 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: b245605eb6c707ff2b1003752692982fa7e51263550c7820a048d8eadca500e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f700f3f29cf23bb4bf4c57e0df2c27d957635464340bc09d582d7c0146971e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-06T10:52:47Z",
    "title_canon_sha256": "a32fee1ebc00c1bbfb46d5212e0fa2a81fc71715570e3f73def571ec2c2f74cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1264",
    "kind": "arxiv",
    "version": 2
  }
}