Pith Number

pith:ZT5XHCIW

pith:2025:ZT5XHCIW4ILR2PBSBNTT5YE7NP

not attested not anchored not stored refs pending

The Space of augmented stability conditions

Antonios-Alexandros Robotis, Daniel Halpern-Leistner

arxiv:2501.00710 v2 · 2025-01-01 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT5XHCIW4ILR2PBSBNTT5YE7NP}

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	2026-06-02T02:04:04.821883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfb738916e2171d3c320b673ee09f6bc4c1276062aadfa06613fd7f5225fd4e

Aliases

arxiv: 2501.00710 · arxiv_version: 2501.00710v2 · doi: 10.48550/arxiv.2501.00710 · pith_short_12: ZT5XHCIW4ILR · pith_short_16: ZT5XHCIW4ILR2PBS · pith_short_8: ZT5XHCIW

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/ZT5XHCIW4ILR2PBSBNTT5YE7NP \
  | 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: ccfb738916e2171d3c320b673ee09f6bc4c1276062aadfa06613fd7f5225fd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65455d79f2510d72895e3b430f26f1b5b2ab3fe40ca73cc58ca2b0bdfa36302d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-01T03:13:31Z",
    "title_canon_sha256": "799fb8024dcf0c00a25ddc26b410b5ec63e9bd54cfccc0826049486a916c9d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00710",
    "kind": "arxiv",
    "version": 2
  }
}