Pith Number

pith:2HTZ4AKB

pith:2011:2HTZ4AKBOMBIXYLRF5HX7NNXH3

not attested not anchored not stored refs pending

Invariant critical sets of conserved quantities

Dan Com\u{a}nescu, Petre Birtea

arxiv:1105.4054 v1 · 2011-05-20 · 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{2HTZ4AKBOMBIXYLRF5HX7NNXH3}

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	2026-05-18T02:01:53.757072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e79e014173028be1712f4f7fb5b73edca503cc4e29335990378e5236c75cda

Aliases

arxiv: 1105.4054 · arxiv_version: 1105.4054v1 · doi: 10.48550/arxiv.1105.4054 · pith_short_12: 2HTZ4AKBOMBI · pith_short_16: 2HTZ4AKBOMBIXYLR · pith_short_8: 2HTZ4AKB

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/2HTZ4AKBOMBIXYLRF5HX7NNXH3 \
  | 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: d1e79e014173028be1712f4f7fb5b73edca503cc4e29335990378e5236c75cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9ea68d04460e4b0ebd0b8a07c738e3330ac0b40b4eea74e7198d03c71b3edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-20T10:25:20Z",
    "title_canon_sha256": "eb14ddf65739baf1849dec1affb2e175b204e3ecc438c0fc999e3d7d7d399a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4054",
    "kind": "arxiv",
    "version": 1
  }
}