Pith Number

pith:2TTQD2QQ

pith:2011:2TTQD2QQFIBJLVUGFOIBT637RV

not attested not anchored not stored refs pending

Displaceability and the mean Euler characteristic

Felix Schlenk, Otto van Koert, Urs Frauenfelder

arxiv:1109.1129 v1 · 2011-09-06 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TTQD2QQFIBJLVUGFOIBT637RV}

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	2026-05-18T02:29:25.569361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e701ea102a0295d6862b9019fb7f8d4c3892e465f58f2f286c01d52bf3318e

Aliases

arxiv: 1109.1129 · arxiv_version: 1109.1129v1 · doi: 10.48550/arxiv.1109.1129 · pith_short_12: 2TTQD2QQFIBJ · pith_short_16: 2TTQD2QQFIBJLVUG · pith_short_8: 2TTQD2QQ

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/2TTQD2QQFIBJLVUGFOIBT637RV \
  | 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: d4e701ea102a0295d6862b9019fb7f8d4c3892e465f58f2f286c01d52bf3318e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4496432d42aab2ddeda10040d32084c04de1550a6e2d9db11efe86e5272f717f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-06T09:49:27Z",
    "title_canon_sha256": "f7d832d36ca387eb5c3a86d3ab123db8cbd4d37c7e76ae8d78415f7eacc1b6f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1129",
    "kind": "arxiv",
    "version": 1
  }
}