Pith Number

pith:YYATU7ET

pith:2013:YYATU7ETBFIGAE5L2BSQVMXJV2

not attested not anchored not stored refs pending

Representations of 3-manifold groups in PGL(n,C) and their restriction to the boundary

Antonin Guilloux (IMJ, UPMC)

arxiv:1310.2907 v1 · 2013-10-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYATU7ETBFIGAE5L2BSQVMXJV2}

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	2026-05-18T03:10:46.344390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6013a7c9309506013abd0650ab2e9ae97a06559f704f6f357daba1bd42f7d92

Aliases

arxiv: 1310.2907 · arxiv_version: 1310.2907v1 · doi: 10.48550/arxiv.1310.2907 · pith_short_12: YYATU7ETBFIG · pith_short_16: YYATU7ETBFIGAE5L · pith_short_8: YYATU7ET

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/YYATU7ETBFIGAE5L2BSQVMXJV2 \
  | 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: c6013a7c9309506013abd0650ab2e9ae97a06559f704f6f357daba1bd42f7d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e660ec8964b72144a0af4a7168aa54a9200961d4bd30cffa52c7e12901d06ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-10T18:29:22Z",
    "title_canon_sha256": "a299e186082d09890f94651087d1dd7d7342d2d95c1d2cb6794e4cea48fc2c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2907",
    "kind": "arxiv",
    "version": 1
  }
}