Pith Number

pith:QOBTPQQP

pith:2013:QOBTPQQPUOHEYUSQYB6YTDVR3F

not attested not anchored not stored refs pending

Components of spaces of surface group representations

Kathryn Mann

arxiv:1309.2905 v2 · 2013-09-11 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOBTPQQPUOHEYUSQYB6YTDVR3F}

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	2026-05-18T03:07:13.865834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838337c20fa38e4c5250c07d898eb1d9693a25f4f7b09785abe29130aac8a98e

Aliases

arxiv: 1309.2905 · arxiv_version: 1309.2905v2 · doi: 10.48550/arxiv.1309.2905 · pith_short_12: QOBTPQQPUOHE · pith_short_16: QOBTPQQPUOHEYUSQ · pith_short_8: QOBTPQQP

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/QOBTPQQPUOHEYUSQYB6YTDVR3F \
  | 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: 838337c20fa38e4c5250c07d898eb1d9693a25f4f7b09785abe29130aac8a98e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f97c15315e956c7e0444506c89805aec4fd7ec72cb401473f23fad20c20bb7a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-11T17:57:19Z",
    "title_canon_sha256": "2bf06d9702876449d4379873955bca977a90d88de3d2d8519d78843ca0d6c2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2905",
    "kind": "arxiv",
    "version": 2
  }
}