Pith Number

pith:AKD6W2U2

pith:2011:AKD6W2U2VL3JPXSD7O557GZNWY

not attested not anchored not stored refs pending

Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces

Andreas Zastrow, Hanspeter Fischer

arxiv:1107.1480 v1 · 2011-07-07 · 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{AKD6W2U2VL3JPXSD7O557GZNWY}

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	2026-05-18T02:21:43.364044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0287eb6a9aaaf697de43fbbbdf9b2db621b98943de6d183766d624d3c81f4b4d

Aliases

arxiv: 1107.1480 · arxiv_version: 1107.1480v1 · doi: 10.48550/arxiv.1107.1480 · pith_short_12: AKD6W2U2VL3J · pith_short_16: AKD6W2U2VL3JPXSD · pith_short_8: AKD6W2U2

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/AKD6W2U2VL3JPXSD7O557GZNWY \
  | 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: 0287eb6a9aaaf697de43fbbbdf9b2db621b98943de6d183766d624d3c81f4b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68625823027ed30be26cf07d6e170317275243be8c4ddec965939d505d54a2a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-07T18:37:14Z",
    "title_canon_sha256": "2e36202c66a9a7056e81d7aca2d003a5877c56369770a5751e1720d0fcf1d80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1480",
    "kind": "arxiv",
    "version": 1
  }
}