Pith Number

pith:FKF2ODSO

pith:2005:FKF2ODSOQK5TEG3ZTFLHBCN2FW

not attested not anchored not stored refs pending

Contractibility of deformation spaces of G-trees

Matt Clay

arxiv:math/0511615 v1 · 2005-11-24 · math.GR · 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{FKF2ODSOQK5TEG3ZTFLHBCN2FW}

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	2026-05-18T02:41:31.950497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8ba70e4e82bb321b7999567089ba2daef392187c6c8a43a5e0a3b12f509ffd

Aliases

arxiv: math/0511615 · arxiv_version: math/0511615v1 · doi: 10.48550/arxiv.math/0511615 · pith_short_12: FKF2ODSOQK5T · pith_short_16: FKF2ODSOQK5TEG3Z · pith_short_8: FKF2ODSO

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/FKF2ODSOQK5TEG3ZTFLHBCN2FW \
  | 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: 2a8ba70e4e82bb321b7999567089ba2daef392187c6c8a43a5e0a3b12f509ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841447561a2f14b6cc63582292297a097cce8f996d7b30b2736994549a2b8671",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-11-24T16:58:48Z",
    "title_canon_sha256": "2c99f18f55175d1249e2d187059d7f7b57fdceea6bf2577871c45942710c503d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511615",
    "kind": "arxiv",
    "version": 1
  }
}