Pith Number

pith:LEVGCEIN

pith:2009:LEVGCEINHKCRF3FSHT44M5P4TP

not attested not anchored not stored refs pending

Orientation reversal of manifolds

Daniel M\"ullner

arxiv:0907.5283 v2 · 2009-07-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEVGCEINHKCRF3FSHT44M5P4TP}

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	2026-05-18T04:33:04.356597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592a61110d3a8512ecb23cf9c675fc9bc62b2d12c1c1f7c454498c5392bafc18

Aliases

arxiv: 0907.5283 · arxiv_version: 0907.5283v2 · doi: 10.48550/arxiv.0907.5283 · pith_short_12: LEVGCEINHKCR · pith_short_16: LEVGCEINHKCRF3FS · pith_short_8: LEVGCEIN

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/LEVGCEINHKCRF3FSHT44M5P4TP \
  | 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: 592a61110d3a8512ecb23cf9c675fc9bc62b2d12c1c1f7c454498c5392bafc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b5b3f568e96597b27fee30fc767463fe70a7e806cc738ae46e87044bb29c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-30T15:51:43Z",
    "title_canon_sha256": "8380e437ac12ffcdf5500c7c70828dead994f0e68736bba930f455a1f7a0259c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5283",
    "kind": "arxiv",
    "version": 2
  }
}