Pith Number

pith:UYZAAJO2

pith:2003:UYZAAJO2XU4TQAEJNC7DZYGRS7

not attested not anchored not stored refs pending

Representations of the fundamental group of a closed oriented surface in Sp(4,R)

Ignasi Mundet i Riera, \'Oscar Garc\'ia-Prada

arxiv:math/0304027 v1 · 2003-04-02 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYZAAJO2XU4TQAEJNC7DZYGRS7}

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	2026-05-18T01:08:59.803673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6320025dabd3938008968be3ce0d197e7bf3a6f9fd1fbeb5fba1130efb6c04b

Aliases

arxiv: math/0304027 · arxiv_version: math/0304027v1 · doi: 10.48550/arxiv.math/0304027 · pith_short_12: UYZAAJO2XU4T · pith_short_16: UYZAAJO2XU4TQAEJ · pith_short_8: UYZAAJO2

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/UYZAAJO2XU4TQAEJNC7DZYGRS7 \
  | 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: a6320025dabd3938008968be3ce0d197e7bf3a6f9fd1fbeb5fba1130efb6c04b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10eea32bd7f4fadd5069108f19c527c21ea0216d7b1339c8c149b71c7ab2e35e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-04-02T16:19:12Z",
    "title_canon_sha256": "363370d7f61bcce6ea18fbfd0de782b109c4b8d40540b128e7837080812eaaa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304027",
    "kind": "arxiv",
    "version": 1
  }
}