Pith Number

pith:E4OBMSTU

pith:2006:E4OBMSTULT2JNXLLABF3EF3EAO

not attested not anchored not stored refs pending

Remarks on the rank properties of formal CR maps

Bernhard Lamel, Nordine Mir

arxiv:math/0608048 v1 · 2006-08-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4OBMSTULT2JNXLLABF3EF3EAO}

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	2026-05-18T01:38:23.878001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271c164a745cf496dd6b004bb2176403b52c86927fb3904ca7020d9d432d6b3e

Aliases

arxiv: math/0608048 · arxiv_version: math/0608048v1 · doi: 10.48550/arxiv.math/0608048 · pith_short_12: E4OBMSTULT2J · pith_short_16: E4OBMSTULT2JNXLL · pith_short_8: E4OBMSTU

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/E4OBMSTULT2JNXLLABF3EF3EAO \
  | 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: 271c164a745cf496dd6b004bb2176403b52c86927fb3904ca7020d9d432d6b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb57fceeba99f6818aa3e0d62a2056fcf4eb24067dc58dfcfa0d15f4f70ad76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-08-02T08:38:11Z",
    "title_canon_sha256": "6909d963d54e6a9068ff259015f14ba55769fe469107134859b222fe26c5d183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608048",
    "kind": "arxiv",
    "version": 1
  }
}