Pith Number

pith:VPXAVVP2

pith:2009:VPXAVVP2UP4ZQBQOQDUXDC2GMG

not attested not anchored not stored refs pending

Generic metrics and the mass endomorphism on spin three-manifolds

Andreas Hermann

arxiv:0904.1330 v2 · 2009-04-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPXAVVP2UP4ZQBQOQDUXDC2GMG}

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	2026-07-04T17:19:58.760160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abee0ad5faa3f998060e80e9718b4661b863636c08fdb2221887778dda09794b

Aliases

arxiv: 0904.1330 · arxiv_version: 0904.1330v2 · doi: 10.48550/arxiv.0904.1330 · pith_short_12: VPXAVVP2UP4Z · pith_short_16: VPXAVVP2UP4ZQBQO · pith_short_8: VPXAVVP2

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/VPXAVVP2UP4ZQBQOQDUXDC2GMG \
  | 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: abee0ad5faa3f998060e80e9718b4661b863636c08fdb2221887778dda09794b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e8111552cbde8b941978ae3c4c4eacf3e50bcdb4cfc562d2993d2c726a305c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-08T13:03:45Z",
    "title_canon_sha256": "566e031d9b2183bbc1bdb8d9ffdcce64dabbcdcb27e012ec28df11aaaddbbcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1330",
    "kind": "arxiv",
    "version": 2
  }
}