Pith Number

pith:TLHE3NC4

pith:2019:TLHE3NC4J3SYII3S6E63OR5I2C

not attested not anchored not stored refs pending

A practical algorithm for volume estimation based on billiard trajectories and simulated annealing

Apostolos Chalkis, Ioannis Z. Emiris, Vissarion Fisikopoulos

arxiv:1905.05494 v3 · 2019-05-14 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLHE3NC4J3SYII3S6E63OR5I2C}

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	2026-07-05T05:43:06.120939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ace4db45c4ee5842372f13db747a8d0bdb9e6928097b69fccc85d24fbf8d12a

Aliases

arxiv: 1905.05494 · arxiv_version: 1905.05494v3 · doi: 10.48550/arxiv.1905.05494 · pith_short_12: TLHE3NC4J3SY · pith_short_16: TLHE3NC4J3SYII3S · pith_short_8: TLHE3NC4

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/TLHE3NC4J3SYII3S6E63OR5I2C \
  | 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: 9ace4db45c4ee5842372f13db747a8d0bdb9e6928097b69fccc85d24fbf8d12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d8a8f4018865505f6d5aa71af71f545a70e051293195b4a3a00670e400e248",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-05-14T10:10:10Z",
    "title_canon_sha256": "63574252e7a39625d28b90467a38fa1e069d04ee286b732a7974eb2a19a27c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05494",
    "kind": "arxiv",
    "version": 3
  }
}