Pith Number

pith:PRZHIJIN

pith:2021:PRZHIJINQBB53FCTOC5FT4JX6B

not attested not anchored not stored refs pending

Entropy collapse versus entropy rigidity for Reeb and Finsler flows

Alberto Abbondandolo, Felix Schlenk, Marcelo R.R. Alves, Murat Saglam

arxiv:2103.01144 v3 · 2021-03-01 · math.DS · math.DG · 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{PRZHIJINQBB53FCTOC5FT4JX6B}

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	2026-07-05T07:23:52.887945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7274250d8043dd945370ba59f137f072f71d1dbf6de4d66c656d5d85cf6d9b

Aliases

arxiv: 2103.01144 · arxiv_version: 2103.01144v3 · doi: 10.48550/arxiv.2103.01144 · pith_short_12: PRZHIJINQBB5 · pith_short_16: PRZHIJINQBB53FCT · pith_short_8: PRZHIJIN

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/PRZHIJINQBB53FCTOC5FT4JX6B \
  | 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: 7c7274250d8043dd945370ba59f137f072f71d1dbf6de4d66c656d5d85cf6d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e6fba6895279881bb7362d29328b586a235b21e77f650b5721e2b11be4bd1e1",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-03-01T17:28:24Z",
    "title_canon_sha256": "1fe8c246442a097e318d223ffa8a8cdc1d50d7bda33d66ecfa53f52318659964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01144",
    "kind": "arxiv",
    "version": 3
  }
}