Pith Number

pith:HRO6VOLP

pith:2013:HRO6VOLPQIS2PRBGCH2SMWCIYW

not attested not anchored not stored refs pending

Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity

E. Falbel, F. Rouillier, P. -V. Koseleff

arxiv:1307.6697 v2 · 2013-07-25 · math.RT · 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{HRO6VOLPQIS2PRBGCH2SMWCIYW}

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	2026-05-18T03:05:37.814310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c5deab96f8225a7c42611f5265848c593f2ac6aaca46bf2099ba448239d8c4f

Aliases

arxiv: 1307.6697 · arxiv_version: 1307.6697v2 · doi: 10.48550/arxiv.1307.6697 · pith_short_12: HRO6VOLPQIS2 · pith_short_16: HRO6VOLPQIS2PRBG · pith_short_8: HRO6VOLP

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/HRO6VOLPQIS2PRBGCH2SMWCIYW \
  | 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: 3c5deab96f8225a7c42611f5265848c593f2ac6aaca46bf2099ba448239d8c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca31a4e0dfc671c64e4096774303aa71667422f2a07f5233984136b010fd9c6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-07-25T11:03:23Z",
    "title_canon_sha256": "d110484e7afab4ef757c6c1f6c4dca6cacaffbbc48d52b8753f04c1bfd82a9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6697",
    "kind": "arxiv",
    "version": 2
  }
}