Pith Number

pith:M7A2PPBF

pith:2006:M7A2PPBFQYIPG77D237YPMFDUL

not attested not anchored not stored refs pending

Asymptotics of accessibility sets along an abnormal trajectory

Emmanuel Tr\'elat (IMB)

arxiv:math/0607425 v1 · 2006-07-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7A2PPBFQYIPG77D237YPMFDUL}

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	2026-05-18T01:08:50.026673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c1a7bc258610f37fe3d6ff87b0a3a2e5a08e797d070abf941d7e0ce146fed8

Aliases

arxiv: math/0607425 · arxiv_version: math/0607425v1 · doi: 10.48550/arxiv.math/0607425 · pith_short_12: M7A2PPBFQYIP · pith_short_16: M7A2PPBFQYIPG77D · pith_short_8: M7A2PPBF

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/M7A2PPBFQYIPG77D237YPMFDUL \
  | 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: 67c1a7bc258610f37fe3d6ff87b0a3a2e5a08e797d070abf941d7e0ce146fed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e39741ef97da5de5097493d1033cc0baa2b933ef13c6899188d30152f99fde1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-07-18T15:22:10Z",
    "title_canon_sha256": "8b457e1fcabcef030f274d37a21be044c604dfaa69d19b1916b043db4f5ae628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607425",
    "kind": "arxiv",
    "version": 1
  }
}