pith. sign in
Pith Number

pith:UBUGGJA2

pith:2012:UBUGGJA27SECYUF6D5HCF7M5J6
not attested not anchored not stored refs pending

Transseries and Todorov-Vernaeve's asymptotic fields

Isaac Goldbring, Matthias Aschenbrenner

arxiv:1205.1068 v1 · 2012-05-04 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UBUGGJA27SECYUF6D5HCF7M5J6}

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 2026-05-18T03:56:12.212613Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a06863241afc882c50be1f4e22fd9d4f9ca678fcb0af12b3ac5376ce15f8feb2

Aliases

arxiv: 1205.1068 · arxiv_version: 1205.1068v1 · doi: 10.48550/arxiv.1205.1068 · pith_short_12: UBUGGJA27SEC · pith_short_16: UBUGGJA27SECYUF6 · pith_short_8: UBUGGJA2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UBUGGJA27SECYUF6D5HCF7M5J6 \
  | 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: a06863241afc882c50be1f4e22fd9d4f9ca678fcb0af12b3ac5376ce15f8feb2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd31d912945a1572babfa854e2fe4801d4ac0cd82e9eff743bdf970f3204cd4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-04T20:27:20Z",
    "title_canon_sha256": "bf44ec1b363986ba6edcf83758e6d7b0ac5cc818043d68bb2a3343f12b322fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1068",
    "kind": "arxiv",
    "version": 1
  }
}