Pith Number

pith:EMRTAPXR

pith:2015:EMRTAPXRNXVXJ264Z45BAUT64Q

not attested not anchored not stored refs pending

The local picture theorem on the scale of topology

Antonio Ros, Joaquin Perez, William H. Meeks III

arxiv:1505.06761 v2 · 2015-05-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMRTAPXRNXVXJ264Z45BAUT64Q}

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	2026-05-18T01:02:13.925886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2323303ef16deb74ebdccf3a10527ee43870087be319f7502c930310d4e5d2fa

Aliases

arxiv: 1505.06761 · arxiv_version: 1505.06761v2 · doi: 10.48550/arxiv.1505.06761 · pith_short_12: EMRTAPXRNXVX · pith_short_16: EMRTAPXRNXVXJ264 · pith_short_8: EMRTAPXR

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/EMRTAPXRNXVXJ264Z45BAUT64Q \
  | 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: 2323303ef16deb74ebdccf3a10527ee43870087be319f7502c930310d4e5d2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d6ce91973fc057c6f0fbf2d75417b601f02869653fe726f30a8620f61be883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-25T21:30:23Z",
    "title_canon_sha256": "e02973198a86a7e3340c301f6e3e1584e7e8bbd44ab85ce607d597397f17ff74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06761",
    "kind": "arxiv",
    "version": 2
  }
}